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<!-- Common Lisp HyperSpec (TM), version 7.0 generated by Kent M. Pitman on Mon, 11-Apr-2005 2:31am EDT -->
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<TITLE>CLHS: Function ARRAY-ROW-MAJOR-INDEX</TITLE>
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<A NAME="array-row-major-index"><I>Function</I> <B>ARRAY-ROW-MAJOR-INDEX</B></A> <P>
<P><B>Syntax:</B><P>
<P>
<B>array-row-major-index</B> <I>array <TT>&amp;rest</TT> subscripts</I> =&gt; <I>index</I><P>
<P>
<P><B>Arguments and Values:</B><P>
<P>
<I>array</I>---an <A REL=DEFINITION HREF="26_glo_a.htm#array"><I>array</I></A>. <P>
<I>subscripts</I>---a <A REL=DEFINITION HREF="26_glo_l.htm#list"><I>list</I></A> of <I>valid array indices</I> for the <I>array</I>. <P>
<I>index</I>---a <A REL=DEFINITION HREF="26_glo_v.htm#valid_array_row-major_index"><I>valid array row-major index</I></A> for the <I>array</I>. <P>
<P><B>Description:</B><P>
<P>
Computes the position according to the row-major ordering of <I>array</I> for the element that is specified by <I>subscripts</I>, and returns the offset of the element in the computed position from the beginning of <I>array</I>. <P>
For a one-dimensional <I>array</I>, the result of <A REL=DEFINITION HREF="#array-row-major-index"><B>array-row-major-index</B></A> equals <I>subscript</I>. <P>
<A REL=DEFINITION HREF="#array-row-major-index"><B>array-row-major-index</B></A> ignores <A REL=DEFINITION HREF="26_glo_f.htm#fill_pointer"><I>fill pointers</I></A>. <P>
<P><B>Examples:</B><P>
<P>
<PRE>
(setq a (make-array '(4 7) :element-type '(unsigned-byte 8)))
(array-row-major-index a 1 2) =&gt; 9
(array-row-major-index
(make-array '(2 3 4)
:element-type '(unsigned-byte 8)
:displaced-to a
:displaced-index-offset 4)
0 2 1) =&gt; 9
</PRE>
</TT> <P>
<P><B>Affected By:</B> None.
<P>
<P><B>Exceptional Situations:</B> None.
<P>
<P><B>See Also:</B> None.
<P>
<P><B>Notes:</B><P>
<P>
A possible definition of <A REL=DEFINITION HREF="#array-row-major-index"><B>array-row-major-index</B></A>, with no error-checking, is <P>
<PRE>
(defun array-row-major-index (a &amp;rest subscripts)
(apply #'+ (maplist #'(lambda (x y)
(* (car x) (apply #'* (cdr y))))
subscripts
(array-dimensions a))))
</PRE>
</TT> <P>
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